Pith Number

pith:IMJWKIMI

pith:2025:IMJWKIMIBETNYPXLN6FLEHD5FC

not attested not anchored not stored refs pending

On the shape of the typical Poisson-Voronoi cell in high dimensions

Matthias Irlbeck, Tobias M\"uller, Zakhar Kabluchko

arxiv:2506.02607 v1 · 2025-06-03 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IMJWKIMIBETNYPXLN6FLEHD5FC}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:15:05.238658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43136521880926dc3eeb6f8ab21c7d28ba917cd31606ecbdb43910aca5323fde

Aliases

arxiv: 2506.02607 · arxiv_version: 2506.02607v1 · doi: 10.48550/arxiv.2506.02607 · pith_short_12: IMJWKIMIBETN · pith_short_16: IMJWKIMIBETNYPXL · pith_short_8: IMJWKIMI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/IMJWKIMIBETNYPXLN6FLEHD5FC \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 43136521880926dc3eeb6f8ab21c7d28ba917cd31606ecbdb43910aca5323fde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eb70a4f13fb42a1fc21a638ce6e6eafc0ebfed78db7dbe472bf2620f50b5e9e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-06-03T08:28:26Z",
    "title_canon_sha256": "85f9bd9d36d660a1355ee01033f2e4fd293441b5be990873d5d70f2e2feaa265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.02607",
    "kind": "arxiv",
    "version": 1
  }
}